Answer:
x = 4, 2
Step-by-step explanation:
[tex](x-2)(2x-3)=(x-2)(x+1)[/tex]
[tex]\\\Rightarrow 2x^2-7x+6=x^2+x-2x-2\\\Rightarrow 2x^2-7x+6-x^2+x-2x-2=0\\\Rightarrow x^2-6x+8=0[/tex]
While splitting the middle term the sum of the term should give us the middle term and their product should give the last term
[tex]\\\Rightarrow x^2-4x-2x+8=0[/tex]
-4-2 = -6
[tex]-4\times -2=8[/tex]
[tex]\\\Rightarrow (x-4)(x-2)=0\\\Rightarrow x=4, 2[/tex]
Hence, x = 4, 2
